Properties of the Number -15600

Fifteen Thousand Six Hundred

Basics

Value: -15601 → -15600 → -15599

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 ² × 13

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 13

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: -11110011110000

Octal: -36360

Duodecimal: -9040

Hexadecimal: -3cf0

Square: 243360000

Square Root: 124.89995996796796

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Expansion of g.f.: -x*(1 - 2·x + 6·x² - 2·x³ + x⁴)/((1-x)³*(1+x)⁴). A122576

Column 1 of triangle in A331431. A331433

Square array T(n, k) read by ascending antidiagonals, T(n, k) = ∑_j=0..n (-1)^{n + j}*(6 - n + j)^k * binomial(12, n - j) if k > 0 and (-1)ⁿ otherwise. T(n, k) for 0 <= n, k <= 11. A347211

a(n) = n*(n-1)*(n-2) (or n!/(n-3)!). A7531

The number k(GL(n,q)) of conjugacy classes in GL(n,q), q=5. A49315

Triangle of generalized Stirling numbers S_3,2(n,k) read by rows (n>=1, 2<=k<=2n). A78740

Number of conjugacy classes in GL(n,25). A182611

a(n) = (2·n - 1)*n². A15237

The number of permutations p of {1,...,n} such that |p(i)-p(i+1)| is in {1,2,3,4,5} for all i from 1 to n-1. A174702

Numbers k such that σ(x) = k has exactly 9 solutions. A60665